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Type: Artigo de periódico
Title: Isometric actions on the projective planes and embedded generators of homotopy groups
Author: Puttmann, T
Rigas, A
Abstract: We determine all orbits of isometric actions on CP2, HP2, and OP2 that are covered by spheres and represent nontrivial classes in the corresponding homotopy groups. As new examples we find orbits that represent generators of pi(5) (HP2) approximate to Z(2) and pi(11) (OP2) approximate to Z(24). These orbits are the quaternionic and octonionic analogues of the quadric z(1)(2) + z(2)(2) + z(3)(2) = 0 in CP2.
Country: Suíça
Editor: Birkhauser Verlag Ag
Rights: fechado
Identifier DOI: 10.1007/s00013-003-4874-y
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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